대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권2호
  • /
  • Pages.571-589
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  • 2020
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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RELATION BETWEEN KNEADING MATRICES OF A MAP AND ITS ITERATES

  • Gopalakrishna, Chaitanya (Department of Mathematical and Computational Sciences National Institute of Technology Karnataka Suarthkal) ;
  • Veerapazham, Murugan (Department of Mathematical and Computational Sciences National Institute of Technology Karnataka Suarthkal)
  • 투고 : 2019.07.24
  • 심사 : 2019.11.19
  • 발행 : 2020.04.30
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초록

It is known that the kneading matrix associated with a continuous piecewise monotone self-map of an interval contains crucial combinatorial information of the map and all its iterates, however for every iterate of such a map we can associate its kneading matrix. In this paper, we describe the relation between kneading matrices of maps and their iterates for a family of chaotic maps. We also give a new definition for the kneading matrix and describe the relationship between the corresponding determinant and the usual kneading determinant of such maps.

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과제정보

연구 과제 주관 기관 : Science and Engineering Research Board (SERB)

The second author was supported by the Science and Engineering Research Board (SERB), DST, Government of India, through the project ECR/2017/000765

참고문헌

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